\(\frac{4}{5}\)
- \(\frac{5}{4}\)
\(\frac{5}{4}\)
- \(\frac{4}{5}\)
Correct answer is D
Where sin θ = \(\frac{opp}{hyp}\) → \(\frac{-3}{5}\)
opp = -3, hyp = 5
using pythagoras formula
hyp\(^2\) = adj\(^2\) + opp\(^2\)
adj\(^2\) = hyp\(^2\) - opp\(^2\)
adj\(^2\) = 5\(^2\) - 3\(^2\) → 25 - 9
adj\(^2\) = 16
adj = 4
cos θ = \(\frac{adj}{hyp}\) → \(\frac{4}{5}\)
In third quadrant: cos θ is negative → - \(\frac{4}{5}\)